Highest Common Factor of 6247, 7873, 49765 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6247, 7873, 49765 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6247, 7873, 49765 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 6247, 7873, 49765 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 6247, 7873, 49765 is 1.

HCF(6247, 7873, 49765) = 1

HCF of 6247, 7873, 49765 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6247, 7873, 49765 is 1.

Highest Common Factor of 6247,7873,49765 using Euclid's algorithm

Highest Common Factor of 6247,7873,49765 is 1

Step 1: Since 7873 > 6247, we apply the division lemma to 7873 and 6247, to get

7873 = 6247 x 1 + 1626

Step 2: Since the reminder 6247 ≠ 0, we apply division lemma to 1626 and 6247, to get

6247 = 1626 x 3 + 1369

Step 3: We consider the new divisor 1626 and the new remainder 1369, and apply the division lemma to get

1626 = 1369 x 1 + 257

We consider the new divisor 1369 and the new remainder 257,and apply the division lemma to get

1369 = 257 x 5 + 84

We consider the new divisor 257 and the new remainder 84,and apply the division lemma to get

257 = 84 x 3 + 5

We consider the new divisor 84 and the new remainder 5,and apply the division lemma to get

84 = 5 x 16 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6247 and 7873 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(84,5) = HCF(257,84) = HCF(1369,257) = HCF(1626,1369) = HCF(6247,1626) = HCF(7873,6247) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 49765 > 1, we apply the division lemma to 49765 and 1, to get

49765 = 1 x 49765 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49765 is 1

Notice that 1 = HCF(49765,1) .

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Frequently Asked Questions on HCF of 6247, 7873, 49765 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 6247, 7873, 49765?

Answer: HCF of 6247, 7873, 49765 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6247, 7873, 49765 using Euclid's Algorithm?

Answer: For arbitrary numbers 6247, 7873, 49765 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.